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Simplifying 5x + 17 = 9(-1x + 12 + 3x) Reorder the terms: 17 + 5x = 9(-1x + 12 + 3x) Reorder the terms: 17 + 5x = 9(12 + -1x + 3x) Combine like terms: -1x + 3x = 2x 17 + 5x = 9(12 + 2x) 17 + 5x = (12 * 9 + 2x * 9) 17 + 5x = (108 + 18x) Solving 17 + 5x = 108 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 17 + 5x + -18x = 108 + 18x + -18x Combine like terms: 5x + -18x = -13x 17 + -13x = 108 + 18x + -18x Combine like terms: 18x + -18x = 0 17 + -13x = 108 + 0 17 + -13x = 108 Add '-17' to each side of the equation. 17 + -17 + -13x = 108 + -17 Combine like terms: 17 + -17 = 0 0 + -13x = 108 + -17 -13x = 108 + -17 Combine like terms: 108 + -17 = 91 -13x = 91 Divide each side by '-13'. x = -7 Simplifying x = -7
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